example 1 identifying slopes and y -intercepts find the slope and y -intercept of the graph of the...

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EXAMPLE 1 Identifying Slopes and y -intercepts ind the slope and y-intercept of the graph of the quation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION The equation y = x – 3 can be written as y = 1x + (– 3 e line has a slope of 1 and a y-intercept of – 3. ANSWER

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Page 1: EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a

EXAMPLE 1 Identifying Slopes and y -intercepts

Find the slope and y-intercept of the graph of the equation.

a. y = x – 3 b. – 4x + 2y = 16

SOLUTION

a. The equation y = x – 3 can be written as y = 1x + (– 3).

The line has a slope of 1 and a y-intercept of – 3.

ANSWER

Page 2: EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a

EXAMPLE 1 Identifying Slopes and y -intercepts

SOLUTION

The line has a slope of 2 and a y-intercept of 8.

ANSWER

b. Write the equation – 4x + 2y = 16 in slope - intercept

form.– 4x + 2y = 16 Write original equation.

2y = 4x + 16 Add 4x to each side.

y = 2x + 8 Divide each side by 2.

Page 3: EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a

GUIDED PRACTICE for Example 1

Find the slope and y-intercept of the graph of theequation.

1. y = 6x + 1

The line has a slope of 6 and a y-intercept of 1.

ANSWER

Page 4: EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a

GUIDED PRACTICE for Example 1

2. y = x 41

The line has a slope of and a y-intercept of 0.

ANSWER

14

Page 5: EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a

GUIDED PRACTICE for Example 1

The line has a slope of and a y-intercept of 2.

ANSWER

23

3. – 2x + 3y = 6

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